Question

Solve the compound inequality: 3x ≤ 18 AND x + 4 > 2 Complete the next expression about the solution set:Solution set: -2 < x ___ _____

Answer 1

3x <= 18 -- divide both sides by 3
x <= 6

AND

x + 4 > 2 --- subtract 4 from both sides
x > 2 - 4
x > -2

so we have x (>) greater then -2 and x (<=) less then or equal to 6....which can be written like this :
-2 < x <= 6